Kinetics
All substrate uptake rates were established as shown in equation (A-1):
\begin{equation} \frac{dC_{j}}{\text{dt}}=q_{j}X_{\text{lumped}}\ \left(A-1\right)\nonumber \\ \end{equation}
In this study the biomass was lumped as total VSS minus the storage polymer solids present in the reactor. It was not feasible to obtain fractions of biomass (species differentiation) from the total amount of VSS and thus it was not possible in obtaining specific activities. Therefore, the activities rather represent the activity of the total amount of catalytic VSS present in the reactor. The substrate kinetics equations for glucose, storage polymer (SP) and lactate consumption are shown in table A.2. For the consumption of the storage polymer a shrinken particle model was used. Furthermore, it was assumed that the consumption of the storage polymer started after all extracellular glucose was consumed. For the model the starting amount of SP was set to 1 gCOD and the final value (end of the cycle) was set to be 1 ± 0.05 gCOD.
Table A.2. The kinetic equations used in the study to calibrate the measured data. Ks,Glu is the half-saturation constant for glucose, Ks,lac is the half-saturation constant for Lactate